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Individual Welfare Analysis: Random Quasilinear Utility, Independence, and Confidence Bounds

Junlong Feng, Sokbae Lee

arXiv 4 Apr 2023 · Econometrics · publishedJournal of Econometrics (2024)

arXiv:2304.01921 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We introduce a novel framework for individual-level welfare analysis. It builds on a parametric model for continuous demand with a quasilinear utility function, allowing for heterogeneous coefficients and unobserved individual-good-level preference shocks. We obtain bounds on the individual-level consumer welfare loss at any confidence level due to a hypothetical price increase, solving a scalable optimization problem constrained by a novel confidence set under an independence restriction. This confidence set is computationally simple and robust to weak instruments, nonlinearity, and partial identification. The validity of the confidence set is guaranteed by our new results on the joint limiting distribution of the independence test by Chatterjee (2021). These results together with the confidence set may have applications beyond welfare analysis. Monte Carlo simulations and two empirical applications on gasoline and food demand demonstrate the effectiveness of our method.

Citation extraction

31
references
56
in-text mentions
31
distinct cited
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self-citations
12,249
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chatterjee, S (2021) A new coefficient of correlation0.9416483%
2Shi, H., M. Drton, and F. Han (2022) On the power of chatterjee’s rank correlation0.9285480%
3Brown, D. J., R. Deb, and M. H. Wegkamp (2007) Tests of independence in separable econometric models: Theory and application0.73732100%
4Bergsma, W. and A. Dassios (2014) A consistent test of independence based on a sign covariance related to kendall’s tau0.64422100%
5Blum, J., J. Kiefer, and M. Rosenblatt (1961) Distribution free tests of independence based on the sample distribution function0.64422100%
6Brown, D. J. and C. Calsamiglia (2007) The nonparametric approach to applied welfare analysis0.64422100%
7Hoeffding, W (1948) A non-parametric test of independence0.64422100%
8Echenique, F., S. Lee, and M. Shum (2011) The money pump as a measure of revealed preference violations0.64422100%
9Yanagimoto, T (1970) On measures of association and a related problem0.64422100%
10Chatterjee, S (2008) A new method of normal approximation0.5114225%

Showing the top 10 of 31 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Identifying causal effects with subjective ordinal outcomes0.40511